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# Ratios

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40% of the people at a concert were men and the rest were women. After some men and 24 women left, the ratio of the number of men to women who remained in the concert hall was 3:5. If there were 8,400 people at the concert hall in the end, how many people

left the concert hall?

Apr 12, 2021

#1
+1300
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After some leaving

8,400 total

men to women, 3:5

Men: 3150

Women: 5250

Before

Women: 5274

Men: 3516

Total: 8790

8790-5250=3540

So 3540 people left. :))

Edit:

I subtracted the wrong number.

8790-8,400 = 390 (I subtracted women instead of ttal)

=^._.^=

Apr 12, 2021
edited by catmg  Apr 12, 2021
#2
0

That's wrong

Guest Apr 12, 2021
#3
+1300
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Oh no. :((

Which part do you think is wrong?

Ohhh, I see.

I'm sorry.

=^._.^=

catmg  Apr 12, 2021
edited by catmg  Apr 12, 2021
#4
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I don't think you were supposed to do 8790-5250=3540

Guest Apr 12, 2021
#5
+1300
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yea, it's fixed now.

=^._.^=

catmg  Apr 12, 2021
#6
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That's correct now.

Guest Apr 12, 2021
#7
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YAYYYY, I'm sorry about that previous mistake.

=^._.^=

catmg  Apr 12, 2021
#8
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Just to say I did not submit the previous mistake you made, I was checking if you did it right but when I checked it, you subtracted by total - women and I did not submit that and said that was wrong. I check the one where you edit the actually answer and it was correct both of them are total.

Guest Apr 12, 2021
#10
+1300
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Thank you for checking. :))

Some days I make dumb mistakes... like yesterday, I did 2+3 = 6

=^._.^=

catmg  Apr 12, 2021
#9
+31584
+1

6 out of 10 originally were women

24 women leave  and now   5 out of 8 are women

6/10 x    =  ( 5/8 * 8400  + 24)

x = original attendance =  10/6 (5/8*8400+24) = 8790

8790 - 8400 = 390 people left

Apr 12, 2021